Report of the fit

Fit summary

Description: Test fit with the MAP 2021 parameterisation.
Minimiser: ceres
Random seed: 1234
Maximum values allowed for q_T / Q for Drell Yan dataset: 0.2 (0.2 for ATLAS dataset)
Maximum values allowed for q_T / Q for SIDIS dataset: min[ min[ 0.2 / z, 0.5 ] + 0.3 / (z*Q) ], 1 ]
Percentile cut: 5
Parameterisation: MAP22g52
Initial parameters fluctuations: False
Explicit formula:

f_{\rm NP}(x,\zeta, b_T)= \exp(S_{\rm NP}(\zeta, b_T))\frac{g_1(x) \exp( - g_1(x) \frac{b_T^2}{4}) + \lambda^2 g_{1B}^2(x) ( 1 - g_{1B}(x) \frac{b_T^2}{4}) \exp( - g_{1B}(x) \frac{b_T^2}{4}) + \lambda_2^2 g_{1C}(x) exp( - g_{1C}(x) \frac{b_T^2}{4}) }{ g_1(x) + \lambda^2 g_{1B}^2(x) + \lambda_2^2 g_{1C}(x) }D_{\rm NP}(z,\zeta, b_T)= \exp(S_{\rm NP}(\zeta, b_T))\frac{g_3(z) \exp( - g_3(z) \frac{b_T^2}{4z^2}) + \frac{\lambda_F}{z^2} g_{3B}^2(z) \big ( 1 - g_{3B}(z) \frac{b_T^2}{4z^2} \big ) \exp( - g_{3B}(z) \frac{b_T^2}{4z^2}) }{ g_3(z) + \frac{\lambda_F}{z^2} g_{3B}^2(z) }S_{\rm NP} = \exp\left[ - g_2^2 \frac{b_T^2}{4} \log \big (\frac{\zeta}{Q_0^2}\big ) \right]g_{1,1B,1C}(x) = N_{1,1B,1C} \frac{x^{\sigma_{1,2,3}}(1-x)^{\alpha^2_{1,2,3}}}{\hat{x}^{\sigma_{1,2,3}}(1-\hat{x})^{\alpha^2_{1,2,3}}}g_{3,3B}(z) = N_{3,3B} \frac{(z^{\beta_{1,2}}+\delta^2_{1,2})(1-z)^{\gamma^2_{1,2}}}{(\hat{z}^{\beta_{1,2}}+\delta^2_{1,2})(1-\hat{z})^{\gamma^2_{1,2}}}Q_0^2 = 1\;{\rm GeV}^2\hat{x} = 0.1\hat{z} = 0.5 t_0 prescription: True

g_2	N_1	\alpha_1	\sigma_1	\lambda	N_3	\beta_1	\delta_1	\gamma_1	\lambda_F	N_{3B}	N_{1B}	N_{1C}	\lambda_2	\alpha_2	\alpha_3	\sigma_2	\sigma_3	\beta_2	\delta_2	\gamma_2
0.291359102894169	0.2006002300752988	2.773582645534533	2.248567120592055	15666.29847468401	0.005080413995163261	7.921481547106262	0.04015419519659606	1.689458640435588	0.3739836783648748	0.1252334678836607	0.001198114771497247	6.192499833953308e-05	0.005345028327068614	10.25646456703343	2.925229330146624	2.335206033389119	12.53681050529197	2.587650914497618	0.2206893632340438	1.102709259848706

Theory summary

Collinear PDF set: MMHT2014nnlo68cl member 0
Collinear FF set: DSS14_NLO_Pip member 0
Collinear FF set: DSS14_NLO_Pim member 0
Collinear FF set: DSS17_NLO_KaonPlus member 0
Collinear FF set: DSS17_NLO_KaonMinus member 0
b^* prescription: bstarmin
Perturbative order: N3LL
Reference value of the fine-structure constant: \alpha(Q = 91.1876\;{\rm GeV}) = 0.00776578395589 (running True)

Global statistical estimators

N_{rep} = 237
\chi_{0}^2 = 0.9737
\chi_{mean}^2 = 0.9737
\langle\chi^2\rangle \pm \sigma_{\chi^2} = 0.9954 \pm 0.0107
\langle E \rangle \pm \sigma_{E} = 1.9645 \pm 0.129

Parameters

Parameter	Central replica	Average over replicas	Fixed
g_2	0.2913591	0.2851962 \pm 0.02437613	False
N_1	0.20060023	0.28205029 \pm 0.08701141	False
\alpha_1	2.7735826	2.69269837 \pm 0.42011436	False
\sigma_1	2.2485671	1.96123427 \pm 0.67899603	False
\lambda	15666.298	10751.45710149 \pm 10695.31492706	False
N_3	0.005080414	0.00507925 \pm 5.787e-05	False
\beta_1	7.9214815	7.92304252 \pm 0.03860489	False
\delta_1	0.040154195	0.04016474 \pm 0.0002053	False
\gamma_1	1.6894586	1.68917387 \pm 0.00937609	False
\lambda_F	0.37398368	0.37384349 \pm 0.00209969	False
N_{3B}	0.12523347	0.12523011 \pm 0.00050366	False
N_{1B}	0.0011981148	0.00334597 \pm 0.00328188	False
N_{1C}	6.1924998e-05	0.00052578 \pm 0.00211779	False
\lambda_2	0.0053450283	0.00480986 \pm 0.0072475	False
\alpha_2	10.256465	8.93846376 \pm 3.03517724	False
\alpha_3	2.9252293	2.57758165 \pm 1.11551289	False
\sigma_2	2.335206	2.26840233 \pm 1.96175461	False
\sigma_3	12.536811	13.14828391 \pm 2.94856557	False
\beta_2	2.5876509	2.58687529 \pm 0.01989373	False
\delta_2	0.22068936	0.22068596 \pm 0.00080095	False
\gamma_2	1.1027093	1.10249264 \pm 0.00206092	False

Fit properties

Table of \chi^2’s

Central-replica \chi^2’s:
Experiment	Number of points	\chi_{D}^2	\chi_{\lambda}^2	\chi^2
E605_Q_7_8	7	1.168	0.227	1.395
E605_Q_8_9	8	2.197	0.131	2.328
E605_Q_10.5_11.5	10	0.419	0.032	0.451
E605_Q_11.5_13.5	12	0.636	0.29	0.926
E605_Q_13.5_18	13	1.004	0.657	1.661
E772_Q_5_6	4	1.209	0.482	1.691
E772_Q_6_7	5	0.995	0.3	1.295
E772_Q_7_8	6	2.41	0.984	3.394
E772_Q_8_9	6	2.318	1.04	3.357
E772_Q_11_12	9	0.959	0.02	0.979
E772_Q_12_13	10	1.188	0.004	1.192
E772_Q_13_14	7	2.455	0.364	2.818
E772_Q_14_15	6	0.284	0.002	0.285
E288_200_Q_4_5	4	0.33	0.122	0.451
E288_200_Q_5_6	5	1.365	0.109	1.474
E288_200_Q_6_7	6	0.2	0.167	0.367
E288_200_Q_7_8	7	0.209	0.15	0.359
E288_200_Q_8_9	8	0.49	0.148	0.638
E288_300_Q_4_5	4	0.566	0.0	0.566
E288_300_Q_5_6	5	1.171	0.0	1.172
E288_300_Q_6_7	6	0.516	0.002	0.518
E288_300_Q_7_8	7	0.058	0.001	0.059
E288_300_Q_8_9	8	0.984	0.005	0.988
E288_300_Q_11_12	9	0.305	0.037	0.342
E288_400_Q_5_6	5	0.619	0.102	0.721
E288_400_Q_6_7	6	0.234	0.092	0.326
E288_400_Q_7_8	7	0.037	0.102	0.139
E288_400_Q_8_9	8	0.757	0.101	0.857
E288_400_Q_11_12	11	0.595	0.045	0.64
E288_400_Q_12_13	12	0.902	0.022	0.924
E288_400_Q_13_14	12	0.751	0.051	0.802
PHENIX_200	2	2.781	1.832	4.613
STAR_510	7	1.417	0.025	1.443
CDF_RunI	25	0.521	0.058	0.579
CDF_RunII	26	0.926	0.003	0.929
D0_RunI	12	0.647	0.028	0.675
D0_RunII	5	1.021	0.459	1.481
D0_RunIImu	3	3.753	0.284	4.037
LHCb_7TeV	7	1.47	0.271	1.741
LHCb_8TeV	7	0.581	0.067	0.648
LHCb_13TeV	7	1.281	0.038	1.32
CMS_7TeV	4	2.265	0.095	2.361
CMS_8TeV	4	1.98	0.001	1.981
CMS_13TeV_y_0_0.4	14	0.465	0.04	0.505
CMS_13TeV_y_0.4_0.8	14	0.323	0.026	0.349
CMS_13TeV_y_0.8_1.2	14	0.513	0.009	0.522
CMS_13TeV_y_1.2_1.6	14	0.22	0.0	0.22
CMS_13TeV_y_1.6_2.4	14	0.392	0.01	0.402
Total	412	0.84	0.133	0.974

Mean-replica \chi^2’s:
Experiment	Number of points	\chi_{D}^2	\chi_{\lambda}^2	\chi^2
E605_Q_7_8	7	1.168	0.227	1.395
E605_Q_8_9	8	2.197	0.131	2.328
E605_Q_10.5_11.5	10	0.419	0.032	0.451
E605_Q_11.5_13.5	12	0.636	0.29	0.926
E605_Q_13.5_18	13	1.004	0.657	1.661
E772_Q_5_6	4	1.209	0.482	1.691
E772_Q_6_7	5	0.995	0.3	1.295
E772_Q_7_8	6	2.41	0.984	3.394
E772_Q_8_9	6	2.318	1.04	3.357
E772_Q_11_12	9	0.959	0.02	0.979
E772_Q_12_13	10	1.188	0.004	1.192
E772_Q_13_14	7	2.455	0.364	2.818
E772_Q_14_15	6	0.284	0.002	0.285
E288_200_Q_4_5	4	0.33	0.122	0.451
E288_200_Q_5_6	5	1.365	0.109	1.474
E288_200_Q_6_7	6	0.2	0.167	0.367
E288_200_Q_7_8	7	0.209	0.15	0.359
E288_200_Q_8_9	8	0.49	0.148	0.638
E288_300_Q_4_5	4	0.566	0.0	0.566
E288_300_Q_5_6	5	1.171	0.0	1.172
E288_300_Q_6_7	6	0.516	0.002	0.518
E288_300_Q_7_8	7	0.058	0.001	0.059
E288_300_Q_8_9	8	0.984	0.005	0.988
E288_300_Q_11_12	9	0.305	0.037	0.342
E288_400_Q_5_6	5	0.619	0.102	0.721
E288_400_Q_6_7	6	0.234	0.092	0.326
E288_400_Q_7_8	7	0.037	0.102	0.139
E288_400_Q_8_9	8	0.757	0.101	0.857
E288_400_Q_11_12	11	0.595	0.045	0.64
E288_400_Q_12_13	12	0.902	0.022	0.924
E288_400_Q_13_14	12	0.751	0.051	0.802
PHENIX_200	2	2.781	1.832	4.613
STAR_510	7	1.417	0.025	1.443
CDF_RunI	25	0.521	0.058	0.579
CDF_RunII	26	0.926	0.003	0.929
D0_RunI	12	0.647	0.028	0.675
D0_RunII	5	1.021	0.459	1.481
D0_RunIImu	3	3.753	0.284	4.037
LHCb_7TeV	7	1.47	0.271	1.741
LHCb_8TeV	7	0.581	0.067	0.648
LHCb_13TeV	7	1.281	0.038	1.32
CMS_7TeV	4	2.265	0.095	2.361
CMS_8TeV	4	1.98	0.001	1.981
CMS_13TeV_y_0_0.4	14	0.465	0.04	0.505
CMS_13TeV_y_0.4_0.8	14	0.323	0.026	0.349
CMS_13TeV_y_0.8_1.2	14	0.513	0.009	0.522
CMS_13TeV_y_1.2_1.6	14	0.22	0.0	0.22
CMS_13TeV_y_1.6_2.4	14	0.392	0.01	0.402
Total	412	0.84	0.133	0.974

Average-over-replicas \chi^2’s:
Experiment	Number of points	\chi^2
E605_Q_7_8	7	1.481 \pm 0.321
E605_Q_8_9	8	2.335 \pm 0.381
E605_Q_10.5_11.5	10	0.46 \pm 0.023
E605_Q_11.5_13.5	12	0.941 \pm 0.023
E605_Q_13.5_18	13	1.663 \pm 0.074
E772_Q_5_6	4	1.875 \pm 0.375
E772_Q_6_7	5	1.378 \pm 0.193
E772_Q_7_8	6	3.474 \pm 0.196
E772_Q_8_9	6	3.397 \pm 0.216
E772_Q_11_12	9	0.988 \pm 0.034
E772_Q_12_13	10	1.202 \pm 0.05
E772_Q_13_14	7	2.806 \pm 0.278
E772_Q_14_15	6	0.291 \pm 0.031
E288_200_Q_4_5	4	0.438 \pm 0.218
E288_200_Q_5_6	5	1.499 \pm 0.346
E288_200_Q_6_7	6	0.41 \pm 0.11
E288_200_Q_7_8	7	0.414 \pm 0.179
E288_200_Q_8_9	8	0.678 \pm 0.164
E288_300_Q_4_5	4	0.586 \pm 0.087
E288_300_Q_5_6	5	1.202 \pm 0.204
E288_300_Q_6_7	6	0.539 \pm 0.134
E288_300_Q_7_8	7	0.066 \pm 0.015
E288_300_Q_8_9	8	0.997 \pm 0.09
E288_300_Q_11_12	9	0.377 \pm 0.089
E288_400_Q_5_6	5	0.823 \pm 0.203
E288_400_Q_6_7	6	0.382 \pm 0.115
E288_400_Q_7_8	7	0.172 \pm 0.059
E288_400_Q_8_9	8	0.897 \pm 0.178
E288_400_Q_11_12	11	0.676 \pm 0.106
E288_400_Q_12_13	12	0.947 \pm 0.032
E288_400_Q_13_14	12	0.821 \pm 0.086
PHENIX_200	2	4.431 \pm 1.264
STAR_510	7	1.454 \pm 0.087
CDF_RunI	25	0.588 \pm 0.023
CDF_RunII	26	0.961 \pm 0.083
D0_RunI	12	0.682 \pm 0.013
D0_RunII	5	1.501 \pm 0.123
D0_RunIImu	3	4.062 \pm 0.428
LHCb_7TeV	7	1.773 \pm 0.066
LHCb_8TeV	7	0.681 \pm 0.104
LHCb_13TeV	7	1.342 \pm 0.207
CMS_7TeV	4	2.364 \pm 0.069
CMS_8TeV	4	1.979 \pm 0.095
CMS_13TeV_y_0_0.4	14	0.509 \pm 0.118
CMS_13TeV_y_0.4_0.8	14	0.346 \pm 0.079
CMS_13TeV_y_0.8_1.2	14	0.516 \pm 0.103
CMS_13TeV_y_1.2_1.6	14	0.226 \pm 0.037
CMS_13TeV_y_1.6_2.4	14	0.417 \pm 0.059
Total	412	0.995 \pm 0.011

TMDs in k_\perp or P_\perp space

TMD PDF of the u at Q = 2 GeV and x = 0.001

TMD PDF of the u at Q = 2 GeV and x = 0.01

TMD PDF of the u at Q = 2 GeV and x = 0.1

TMD PDF of the u at Q = 10 GeV and x = 0.001

TMD PDF of the u at Q = 10 GeV and x = 0.01

TMD PDF of the u at Q = 10 GeV and x = 0.1

TMD PDF of the u at Q = 100 GeV and x = 0.001

TMD PDF of the u at Q = 100 GeV and x = 0.01

TMD PDF of the u at Q = 100 GeV and x = 0.1

Data-theory comparison

CMS_13TeV_y_0_0.4 data-theory comparison

CMS_13TeV_y_0.4_0.8 data-theory comparison

CMS_13TeV_y_0.8_1.2 data-theory comparison

CMS_13TeV_y_1.2_1.6 data-theory comparison

CMS_13TeV_y_1.6_2.4 data-theory comparison